Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10501	Simplify	(sin(144^3))÷( square root of 806^4)	$\sin (144^{3}) \div \sqrt{806^{4}}$
10502	Simplify	square root of (h/2)^2+(h/2)^2	$\sqrt{{(\frac{h}{2})}^{2} + {(\frac{h}{2})}^{2}}$
10503	Simplify	square root of (52ab^3)/( square root of 13a)	$\sqrt{\frac{52 a b^{3}}{\sqrt{13 a}}}$
10504	Simplify	square root of 8+2 square root of 12	$\sqrt{8 + 2 \sqrt{12}}$
10505	Simplify	(x-2)/(x+3)>=0	$\frac{x - 2}{x + 3} \geq 0$
10506	Factor	(18x+13xy-11y)-(21x-14xy-5y)	$(18 x + 13 x y - 11 y) - (21 x - 14 x y - 5 y)$
10507	Factor	(2)*(4f)+f+6-5	$(2) \cdot (4 f) + f + 6 - 5$
10508	Factor	(2.6÷1.2-4 1/2)÷(0.75-1/3)	$(2.6 \div 1.2 - 4 \frac{1}{2}) \div (0.75 - \frac{1}{3})$
10509	Factor	2 1/53+42 1/4	$2 \frac{1}{5} \cdot 3 + 4 \cdot 2 \frac{1}{4}$
10510	Factor	(2 4/2)-(-3 3/3)	$(2 \frac{4}{2}) - (- 3 \frac{3}{3})$
10511	Factor	2b^2-8b+(4b^4-8b)	$2 b^{2} - 8 b + (4 b^{4} - 8 b)$
10512	Factor	(2c^2-3cy+y^2)(c^2+4cy-3y^2)	$(2 c^{2} - 3 c y + y^{2}) (c^{2} + 4 c y - 3 y^{2})$
10513	Factor	(2m^2+4)(m-3)	$(2 m^{2} + 4) (m - 3)$
10514	Factor	2n^2-3(nm)-3n^2+6(nm)+4m^2	$2 n^{2} - 3 n m + (- 3 n^{2} + 6 n m + 4 m^{2})$
10515	Factor	2r^3-3r+(2r+7r^4)-(8r-5r^4)	$2 r^{3} - 3 r + (2 r + 7 r^{4}) - (8 r - 5 r^{4})$
10516	Factor	-8p^3q-16p^2-p^8q	$- 8 p^{3} q - 16 p^{2} - p^{8} q$
10517	Factor	2y^4z^2-6y^3z+(2y^4z^2-y^3z)-(6y^4z^2-y^3z)	$2 y^{4} z^{2} - 6 y^{3} z + (2 y^{4} z^{2} - y^{3} z) - (6 y^{4} z^{2} - y^{3} z)$
10518	Factor	(-2-6i)-(-5+3i)	$(- 2 - 6 i) - (- 5 + 3 i)$
10519	Factor	27m^3-8	$27 m^{3} - 8$
10520	Factor	(2a-b+12c-4d)(2a-b-12c+4d)	$(2 a - b + 12 c - 4 d) (2 a - b - 12 c + 4 d)$
10521	Factor	2ab-3a+4b+(5a+4ab)	$2 a b - 3 a + 4 b + (5 a + 4 a b)$
10522	Factor	(2-b)(2+b)(4+b^2)+(1+b^2)	$(2 - b) (2 + b) (4 + b^{2}) + (1 + b^{2})$
10523	Factor	2c+7	$2 c + 7$
10524	Factor	-(2h-9)-4h	$- (2 h - 9) - 4 h$
10525	Factor	(2i+3j+5k)*(i+3j+2k)	$(2 i + 3 j + 5 k) \cdot (i + 3 j + 2 k)$
10526	Factor	(2n+1)*(2n)-n(n-1)(n-2)	$(2 n + 1) \cdot (2 n) - n (n - 1) (n - 2)$
10527	Factor	(2n+3)(n-4)	$(2 n + 3) (n - 4)$
10528	Factor	(2t)-7(5t+4)	$(2 t) - 7 (5 t + 4)$
10529	Factor	(2w-1)(w-3)	$(2 w - 1) (w - 3)$
10530	Factor	(2x+1/2)(2x-1/2)	$(2 x + \frac{1}{2}) (2 x - \frac{1}{2})$
10531	Factor	-2y+10	$- 2 y + 10$
10532	Factor	(2y+3)(2y^2-9z+7)	$(2 y + 3) (2 y^{2} - 9 z + 7)$
10533	Factor	-(-2y-3u+6)	$- (- 2 y - 3 u + 6)$
10534	Factor	(2y-9)(-y^2+5y+2)	$(2 y - 9) (- y^{2} + 5 y + 2)$
10535	Factor	(3ab^2-5a^2b+7a^2b^2)÷(a^2)b^2	$(3 a b^{2} - 5 a^{2} b + 7 a^{2} b^{2}) \div a^{2} b^{2}$
10536	Factor	(3b^2-5b+2)*(b-3)	$(3 b^{2} - 5 b + 2) \cdot (b - 3)$
10537	Factor	3m^2-5m^2p+(3p^2-5p^3)	$3 m^{2} - 5 m^{2} p + (3 p^{2} - 5 p^{3})$
10538	Factor	(3r^3-r^2+2r-25)÷(r-2)	$(3 r^{3} - r^{2} + 2 r - 25) \div (r - 2)$
10539	Factor	(3t^3-10t^2+t-5)÷(t-4)	$(3 t^{3} - 10 t^{2} + t - 5) \div (t - 4)$
10540	Factor	(3v^2+18v+20)÷(v+4)	$(3 v^{2} + 18 v + 20) \div (v + 4)$
10541	Factor	3v^2-11p^2+12j^2+(-10v^2+6p^2-5j^2)	$3 v^{2} - 11 p^{2} + 12 j^{2} + (- 10 v^{2} + 6 p^{2} - 5 j^{2})$
10542	Factor	3w^2-3w+6+(-7w+9)-(5w^2-2)	$3 w^{2} - 3 w + 6 + (- 7 w + 9) - (5 w^{2} - 2)$
10543	Factor	(300÷(sin(x)))÷3	$300 \div \sin (x) \div 3$
10544	Factor	(36w^3+6w^2+48w+32)÷(6w+3)	$(36 w^{3} + 6 w^{2} + 48 w + 32) \div (6 w + 3)$
10545	Factor	(5/816/15)y+(5/832/45)z-5/8*63/25	$(\frac{5}{8} \cdot \frac{16}{15}) y + (\frac{5}{8} \cdot \frac{32}{45}) z - \frac{5}{8} \cdot \frac{63}{25}$
10546	Factor	(6n^2-6n-5)(7n^2+6n-5)	$(6 n^{2} - 6 n - 5) (7 n^{2} + 6 n - 5)$
10547	Factor	(70/9+40/6-2/3)(35 38/8)	$(\frac{70}{9} + \frac{40}{6} - \frac{2}{3}) (35 \frac{38}{8})$
10548	Factor	(a^2-4)(3a-7)	$(a^{2} - 4) (3 a - 7)$
10549	Factor	(a^5-3a^4+a^3+2a-1)÷(a+3)	$(a^{5} - 3 a^{4} + a^{3} + 2 a - 1) \div (a + 3)$
10550	Factor	(a^mb^m)(4(a^(m+1)b^(m+1)))2	$(a^{m} b^{m}) \cdot (4 (a^{m + 1} b^{m + 1})) \cdot 2$
10551	Factor	(ab^2+10+a)-(6ab^2-2ab+8)	$(a b^{2} + 10 + a) - (6 a b^{2} - 2 a b + 8)$
10552	Factor	(k^3-k^2-k-2)÷(k-2)	$(k^{3} - k^{2} - k - 2) \div (k - 2)$
10553	Factor	(k^3+18k^2+84k+40)÷(k+10)	$(k^{3} + 18 k^{2} + 84 k + 40) \div (k + 10)$
10554	Factor	m^2+4m+(3m+12)	$m^{2} + 4 m + (3 m + 12)$
10555	Factor	(m+n^2)/((m-n)^2)-1	$\frac{m + n^{2}}{{(m - n)}^{2}} - 1$
10556	Factor	P^2+11P+18	$P^{2} + 11 P + 18$
10557	Factor	-P^2+11P+18	$- P^{2} + 11 P + 18$
10558	Factor	((rts)/(rs))-(1/s)+s/(r(r-s))	$(\frac{r t s}{r s}) - (\frac{1}{s}) + \frac{s}{r (r - s)}$
10559	Factor	s^3-3s^2-4s+12	$s^{3} - 3 s^{2} - 4 s + 12$
10560	Factor	(t^3-3t^2+2t)÷4	$(t^{3} - 3 t^{2} + 2 t) \div 4$
10561	Factor	Z^6+1	$Z^{6} + 1$
10562	Factor	(0-2)z^2-8z-13	$(0 - 2) z^{2} - 8 z - 13$
10563	Factor	(-1 3/5)-(-2 3/5)	$(- 1 \frac{3}{5}) - (- 2 \frac{3}{5})$
10564	Factor	(-1 7/8)+7/8	$(- 1 \frac{7}{8}) + \frac{7}{8}$
10565	Factor	-1-2 2/5	$- 1 - 2 \frac{2}{5}$
10566	Factor	(1.110^6)(1.1*10^-6)	$(1.1 \cdot 10^{6}) \cdot (1.1 \cdot 10^{- 6})$
10567	Factor	-1 3/4-3 3/4	$- 1 \frac{3}{4} - 3 \frac{3}{4}$
10568	Factor	(-1yy^2)÷(y^2)	$- 1 y y^{2} \div y^{2}$
10569	Factor	10AB^3C^4-2PQ^4S^3+5M^3N^3+(5M^3N^3+2PQ^4S^3)	$10 A B^{3} C^{4} - 2 P Q^{4} S^{3} + 5 M^{3} N^{3} + (5 M^{3} N^{3} + 2 P Q^{4} S^{3})$
10570	Factor	(100)(70)	$(100) (70)$
10571	Factor	(-11)(12)	$(- 11) (12)$
10572	Factor	(11+7i)-(2+2i)	$(11 + 7 i) - (2 + 2 i)$
10573	Factor	(12+15i)-(3+10i)	$(12 + 15 i) - (3 + 10 i)$
10574	Factor	12x+8y	$12 x + 8 y$
10575	Factor	(13t^2-18t+17)-(-10t^(2+13t-18))	$(13 t^{2} - 18 t + 17) - (- 10 t^{2 + 13 t - 18})$
10576	Factor	15p^2-4g+13+(2g^2-7g+9)	$15 p^{2} - 4 g + 13 + (2 g^{2} - 7 g + 9)$
10577	Factor	15y^2-38y+7	$15 y^{2} - 38 y + 7$
10578	Factor	15y-20z+(22y+20z)	$15 y - 20 z + (22 y + 20 z)$
10579	Factor	18z^2-12z	$18 z^{2} - 12 z$
10580	Multiply	(x+6/7)(x-1/7)	$(x + \frac{6}{7}) (x - \frac{1}{7})$
10581	Write in Standard Form	4/(9-i)	$\frac{4}{9 - i}$
10582	Write in Standard Form	(4+28i)/(3+i)	$\frac{4 + 28 i}{3 + i}$
10583	Multiply	(x^2-x)/(x^2-5x-6)*(x-6)/(x^2-1)	$\frac{x^{2} - x}{x^{2} - 5 x - 6} \cdot \frac{x - 6}{x^{2} - 1}$
10584	Write in Standard Form	(4-3i)/(5+2i)	$\frac{4 - 3 i}{5 + 2 i}$
10585	Write in Standard Form	(4-7i)/(9+4i)	$\frac{4 - 7 i}{9 + 4 i}$
10586	Write in Standard Form	(4i)/(3+6i)	$\frac{4 i}{3 + 6 i}$
10587	Write in Standard Form	(4i)/(5-4i)	$\frac{4 i}{5 - 4 i}$
10588	Write in Standard Form	(4-i)/(7+4i)	$\frac{4 - i}{7 + 4 i}$
10589	Write in Standard Form	-5/(1+3i)	$\frac{- 5}{1 + 3 i}$
10590	Write in Standard Form	(-5+31i)/(5-2i)	$\frac{- 5 + 31 i}{5 - 2 i}$
10591	Write in Standard Form	(5i)/(-4+3i)	$\frac{5 i}{- 4 + 3 i}$
10592	Write in Standard Form	(5-i)/(-6-9i)	$\frac{5 - i}{- 6 - 9 i}$
10593	Write in Standard Form	6/(4+5i)	$\frac{6}{4 + 5 i}$
10594	Write in Standard Form	(6+4i)/(3i)	$\frac{6 + 4 i}{3 i}$
10595	Write in Standard Form	7/(4-3i)	$\frac{7}{4 - 3 i}$
10596	Write in Standard Form	(-7-3i)/(5-4i)	$\frac{- 7 - 3 i}{5 - 4 i}$
10597	Write in Standard Form	(7i)/(7-8i)	$\frac{7 i}{7 - 8 i}$
10598	Write in Standard Form	(7i)/(8-3i)	$\frac{7 i}{8 - 3 i}$
10599	Write in Standard Form	8/(1+5i)	$\frac{8}{1 + 5 i}$
10600	Write in Standard Form	8/(3-8i)	$\frac{8}{3 - 8 i}$